World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
31
Citations
3480
World Ranking
3370
National Ranking
137

Marco Bertola publication distribution in Mathematics in 2026

The chart shows the distribution of publications by all Research.com ranked scientists in the field of Mathematics in 2026. The highlighted bar marks where Marco Bertola sits on this spectrum.

42–46 publications: 3 scientists 47–51 publications: 5 scientists 52–56 publications: 7 scientists 57–61 publications: 20 scientists 62–66 publications: 14 scientists 67–71 publications: 25 scientists 72–76 publications: 19 scientists 77–81 publications: 35 scientists 82–86 publications: 50 scientists 87–91 publications: 60 scientists 92–96 publications: 86 scientists 97–101 publications: 84 scientists 102–106 publications: 83 scientists 107–111 publications: 90 scientists 112–116 publications: 99 scientists 117–121 publications: 90 scientists 122–126 publications: 91 scientists 127–131 publications: 109 scientists 132–136 publications: 110 scientists 137–141 publications: 98 scientists 142–146 publications: 112 scientists 147–151 publications: 102 scientists 152–156 publications: 88 scientists 157–161 publications: 106 scientists 162–166 publications: 83 scientists 167–171 publications: 102 scientists 172–176 publications: 77 scientists 177–181 publications: 81 scientists 182–186 publications: 78 scientists 187–191 publications: 71 scientists 192–196 publications: 92 scientists 197–201 publications: 64 scientists 202–206 publications: 69 scientists 207–211 publications: 64 scientists 212–216 publications: 62 scientists 217–221 publications: 58 scientists 222–226 publications: 53 scientists 227–231 publications: 50 scientists 232–236 publications: 46 scientists 237–241 publications: 46 scientists 242–246 publications: 46 scientists 247–251 publications: 43 scientists 252–256 publications: 29 scientists 257–261 publications: 45 scientists 262–266 publications: 30 scientists 267–271 publications: 33 scientists 272–276 publications: 34 scientists 277–281 publications: 30 scientists 282–286 publications: 31 scientists 287–291 publications: 21 scientists 292–296 publications: 34 scientists 297–301 publications: 26 scientists 302–306 publications: 10 scientists 307–311 publications: 17 scientists 312–316 publications: 23 scientists 317–321 publications: 13 scientists 322–326 publications: 16 scientists 327–331 publications: 26 scientists 332–336 publications: 13 scientists 337–341 publications: 13 scientists 342–346 publications: 16 scientists 347–351 publications: 17 scientists 352–356 publications: 12 scientists 357–361 publications: 18 scientists 362–366 publications: 18 scientists 367–371 publications: 9 scientists 372–376 publications: 11 scientists 377–381 publications: 8 scientists 382–386 publications: 8 scientists 387–391 publications: 9 scientists 392–396 publications: 9 scientists 397–401 publications: 8 scientists 402–406 publications: 11 scientists 407–411 publications: 6 scientists 412–416 publications: 6 scientists 417–421 publications: 9 scientists 422–426 publications: 8 scientists 427–431 publications: 5 scientists 432–436 publications: 8 scientists 437–441 publications: 8 scientists 442–446 publications: 4 scientists 447–451 publications: 4 scientists 452–456 publications: 4 scientists 457–461 publications: 2 scientists 462–466 publications: 2 scientists 467–471 publications: 4 scientists 472–476 publications: 3 scientists 477–481 publications: 3 scientists 482–486 publications: 6 scientists 487–491 publications: 3 scientists 492–496 publications: 5 scientists 497–501 publications: 5 scientists 502–506 publications: 1 scientists 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientists 522–526 publications: 3 scientists 527–531 publications: 1 scientists 532–536 publications: 4 scientists 537+ publications: 100 scientists
42 publications 537+

This scientist: 140 publications — 32nd percentile

32% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 537 publications or more.

Marco Bertola D-index placement in Mathematics in 2026

The chart shows the D-index (discipline H-index) distribution of Mathematics scientists ranked by Research.com in 2026. The highlighted bar marks where Marco Bertola sits on this spectrum.

30 D-Index: 174 scientists 31 D-Index: 151 scientists 32 D-Index: 174 scientists 33 D-Index: 117 scientists 34 D-Index: 136 scientists 35 D-Index: 127 scientists 36 D-Index: 145 scientists 37 D-Index: 153 scientists 38 D-Index: 150 scientists 39 D-Index: 150 scientists 40 D-Index: 138 scientists 41 D-Index: 136 scientists 42 D-Index: 93 scientists 43 D-Index: 108 scientists 44 D-Index: 115 scientists 45 D-Index: 112 scientists 46 D-Index: 103 scientists 47 D-Index: 75 scientists 48 D-Index: 59 scientists 49 D-Index: 67 scientists 50 D-Index: 60 scientists 51 D-Index: 57 scientists 52 D-Index: 59 scientists 53 D-Index: 62 scientists 54 D-Index: 60 scientists 55 D-Index: 50 scientists 56 D-Index: 42 scientists 57 D-Index: 54 scientists 58 D-Index: 50 scientists 59 D-Index: 42 scientists 60 D-Index: 41 scientists 61 D-Index: 35 scientists 62 D-Index: 40 scientists 63 D-Index: 21 scientists 64 D-Index: 31 scientists 65 D-Index: 27 scientists 66 D-Index: 29 scientists 67 D-Index: 19 scientists 68 D-Index: 25 scientists 69 D-Index: 17 scientists 70 D-Index: 18 scientists 71 D-Index: 12 scientists 72 D-Index: 14 scientists 73 D-Index: 13 scientists 74 D-Index: 18 scientists 75 D-Index: 9 scientists 76 D-Index: 11 scientists 77 D-Index: 10 scientists 78 D-Index: 9 scientists 79 D-Index: 16 scientists 80 D-Index: 12 scientists 81 D-Index: 10 scientists 82 D-Index: 5 scientists 83 D-Index: 5 scientists 84 D-Index: 13 scientists 85 D-Index: 6 scientists 86+ D-Index: 99 scientists
30 D-Index 86+

This scientist: 31 D-Index — 9th percentile

9% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 86 D-Index or more.

Overview

Marco Bertola is a researcher affiliated with Concordia University in Canada, with a focus on mathematics and physics. Their work spans main fields such as Mathematics and Physics and Astronomy, with particular emphasis on subfields including Mathematical Physics, Applied Mathematics, Statistical and Nonlinear Physics, Geometry and Topology, and Algebra and Number Theory.

Their research addresses a number of advanced topics, notably:

  • Nonlinear Waves and Solitons
  • Mathematical functions and polynomials
  • Advanced Algebra and Geometry
  • Algebraic structures and combinatorial models
  • Advanced Topics in Algebra
  • Nonlinear Photonic Systems
  • Spectral Theory in Mathematical Physics

Their publication record includes works in several leading scientific journals. Frequent venues for their contributions include:

  • arXiv (Cornell University)
  • Communications in Mathematical Physics
  • Nonlinearity
  • Symmetry Integrability and Geometry Methods and Applications
  • International Mathematics Research Notices

Recent publications by Marco Bertola include:

  • Partial degeneration of finite gap solutions to the Korteweg-de Vries equation: soliton gas and scattering on elliptic backgrounds, 2023, Nonlinearity
  • Soliton Shielding of the Focusing Nonlinear Schrödinger Equation, 2023, Physical Review Letters
  • Simple Lie Algebras, Drinfeld-Sokolov Hierarchies, and Multi-Point Correlation Functions, 2021, Moscow Mathematical Journal
  • Extended Goldman symplectic structure in Fock-Goncharov coordinates, 2023, Journal of Differential Geometry
  • Nonlinear steepest descent approach to orthogonality on elliptic curves, 2022, Journal of Approximation Theory

They have collaborated frequently with several co-authors, including:

  • Тамара Грава
  • Alexander Tovbis
  • Giuseppe Orsatti
  • Dmitry Korotkin
  • Eduardo Chavez-Heredia

Best Publications

  • Universality for the Focusing Nonlinear Schrödinger Equation at the Gradient Catastrophe Point: Rational Breathers and Poles of the Tritronquée Solution to Painlevé I

    Marco Bertola;Alexander Tovbis

  • Universality of the Peregrine Soliton in the Focusing Dynamics of the Cubic Nonlinear Schrödinger Equation.

    Alexey Tikan;Cyril Billet;Gennady El;Alexander Tovbis

  • Duality, Biorthogonal Polynomials¶and Multi-Matrix Models

    M. Bertola;B. Eynard;J. Harnad

  • The Dependence on the Monodromy Data of the Isomonodromic Tau Function

    Marco Bertola;Marco Bertola

  • Differential Systems for Biorthogonal Polynomials Appearing in 2-Matrix Models and the Associated Riemann–Hilbert Problem

    M. Bertola;M. Bertola;B. Eynard;J. Harnad;J. Harnad

  • Partition functions for matrix models and isomonodromic tau functions

    M Bertola;M Bertola;B Eynard;J Harnad;J Harnad

  • Cauchy–Laguerre Two-Matrix Model and the Meijer-G Random Point Field

    M. Bertola;M. Bertola;M. Gekhtman;J. Szmigielski

  • The Transition between the Gap Probabilities from the Pearcey to the Airy Process—a Riemann–Hilbert Approach

    Marco Bertola;M. Cafasso

  • The Cauchy Two-Matrix Model

    M. Bertola;M. Bertola;M. Gekhtman;J. Szmigielski

  • Semiclassical Orthogonal Polynomials, Matrix Models and Isomonodromic Tau Functions

    M. Bertola;M. Bertola;B. Eynard;J. Harnad;J. Harnad

  • Commuting difference operators, spinor bundles and the asymptotics of orthogonal polynomials with respect to varying complex weights

    M. Bertola;M. Bertola;M.Y. Mo

  • Cauchy biorthogonal polynomials

    M. Bertola;M. Gekhtman;J. Szmigielski

  • Correlation functions of the KdV hierarchy and applications to intersection numbers over M¯g,n

    Marco Bertola;Marco Bertola;Marco Bertola;Boris Dubrovin;Di Yang

  • Frobenius manifold structure on orbit space of Jacobi groups; Part II

    Marco Bertola

  • Boutroux curves with external field: equilibrium measures without a variational problem

    Marco Bertola;Marco Bertola

  • First Colonization of a Spectral Outpost in Random Matrix Theory

    M. Bertola;M. Bertola;S. Y. Lee

  • Free energy of the two-matrix model/dToda tau-function

    M. Bertola;M. Bertola

  • Bilinear semiclassical moment functionals and their integral representation

    Marco Bertola

  • Biorthogonal polynomials for two-matrix models with semiclassical potentials

    M. Bertola

  • Universality for the focusing nonlinear Schroedinger equation at the gradient catastrophe point: Rational breathers and poles of the tritronquee solution to Painleve I

    Marco Bertola;Alexander Tovbis

Frequent Co-Authors

John Harnad
John Harnad University of Montreal
Bertrand Eynard
Bertrand Eynard University of Paris-Saclay
Boris Dubrovin
Boris Dubrovin International School for Advanced Studies
Gennady El
Gennady El Northumbria University
John M. Dudley
John M. Dudley University of Franche-Comté
Thibaut Sylvestre
Thibaut Sylvestre Centre national de la recherche scientifique, CNRS
Goëry Genty
Goëry Genty Tampere University

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